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Finding the Fourth Proportional to 105,249.67, 157,899.40 and 34,172.17

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Solution

The fourth proportional to 105,249.67, 157,899.40 and 34,172.17 is: 51,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,249.67 : 157,899.40 = 34,172.17 : x
  2. Step 2: Convert to fraction form
    105,249.67/157,899.40 = 34,172.17/x
  3. Step 3: Cross multiply
    105,249.67x = 157,899.40 × 34,172.17
  4. Step 4: Simplify right side
    105,249.67x = 5,395,765,139.70
  5. Step 5: Solve for x
    x = 5,395,765,139.70/105,249.67
  6. Step 6: Final answer
    x = 51,266.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.